53210880 has 216 divisors, whose sum is σ = 191318400. Its totient is φ = 13639680.

The previous prime is 53210873. The next prime is 53210893. The reversal of 53210880 is 8801235.

53210880 = 31² + 32² + ... + 542².

It is a happy number.

53210880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357046 + ... + 357194.

Almost surely, 2^53210880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95659200).

53210880 is an abundant number, since it is smaller than the sum of its proper divisors (138107520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53210880 is a wasteful number, since it uses less digits than its factorization.

53210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 53210880 is about 7294.5788089512. The cubic root of 53210880 is about 376.1261082953.

The spelling of 53210880 in words is "fifty-three million, two hundred ten thousand, eight hundred eighty".